Advertisements
Advertisements
Question
From the pattern, we can say that the sum of the first n positive odd numbers is equal to the square of the n-th positive number. Putting that into formula:
1 + 3 + 5 + 7 + ... n = n2, where the left hand side consists of n terms.
Advertisements
Solution
Observe the following pattern
1 + 3 = 22
1 + 3 + 5 = 32
1 + 3 × 5 + 7 = 42
and write the value of 1 + 3 + 5 + 7 + 9 + ... upto n terms.
APPEARS IN
RELATED QUESTIONS
Find the square of the given number.
35
Find the square of the given number.
71
Write a Pythagorean triplet whose one member is 14.
What will be the units digit of the square of the following number?
78367
Which of the following triplet is pythagorean?
(18, 80, 82)
Which of the following number square of even number?
324
Find the square of the following number:
512
The sides of a right triangle whose hypotenuse is 17 cm are ______ and ______.
Rahul walks 12 m north from his house and turns west to walk 35 m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning?
